2.3-7 A steel bar 2.4 m long has a circular cross section of diameter d, = 20 mm over one-half of its length and diam- eter d, = 12 mm over the other half (see figure part a). The modulus of elasticity is E = 205 GPa. (a) How much will the bar elongate under a tensile %3D %3D load P = 22 kN?
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- The shown plate is 60 mm thick and it is made of Magnesium Am1004-T61. The plate is fitted between the rigid frictionless supports as shown and at T, = 20°C it is stress free. Find the stresses in the x and y directions when the temperature increases to T, = 58°C. %3D 150 mm 150 mm Select one: O x: 0 MPa, y: 42.864 MPa Ox: 22.1 MPa, y: 44.2 MPa Ox: 0 MPa, y: 44.2 MPa Ox: 0 MPa, y: 17.8 MPa O x: 13.2 MPa, y: 44.2 MPa Ox: 0 MPa, y: 67.4 MPa 3:10 PM O G 4) ENG 1/31/20215. The rigid bar of negligible weight is pinned at O and attached to two vertical rods. Assuming that the rods were initially stress-free, what is the largest load P that can be applied without exceeding stresses of 150 MPa in the steel rod and 70 MPa in the bronze rod? -2 m- -1.5 m- 1.5 m- Bronze A = 300 mm2 E = 83 GPa L=2 m Steel A = 900 mm2 E = 200 GPa L = 1.5 m3. The rigid bar of negligible weight is pinned at O and attached to two vertical rods. Assuming that the rods were initially stress-free, what is the largest load P that can be applied without exceeding stresses of 150 MPa in the steel rod and 70 MPa in the bronze rod? 2 m -- -1.5 m- 1.5 m 10 Steel A=900 mm2 E=200 GPa L=15 m Bronze A=300 mm2 E= 83 GPa L3D2 m
- An aluminum bar carries the axial loads at the positions shown. If E=70GPA, compute the total deformation of the bar. Assume that the bar is suitably braced to prevent buckling. 0.4m 10KN 0.8m 0.4m 5KN 0.6m What is the deformation 8Rc in mm? Al 20KN A=800 mm? A=1,200 mm²PROBLEM 1) An aluminum bar carries the axial loads at the positions shown. If E=70GPA, compute the total deformation of the bar. Assume that the bar is suitably braced to prevent buckling. 0.4m D 10KN 6) What is the deformation &c in mm? 0.8m 0.4m B 5KN 0.6m 20KN A=800 mm? A=1,200 mm²A 26-foot-long structural steel bar is being tensed along its centroidal axis. Point B is being tensed by 180 kips of force and point C is being tensed by 121 kips of force. The bar has a rectangular cross-section with a height of 3.6 inches and width of 2.8 inches. The steel is HSLC steel with a yield stress, oy = 50 ksi and modulus of elasticity, E = 30,000 ksi. Show all work and any assumptions clearly. Record your answers on the answer key. Complete the following: ): Calculate the axial stress in sections AB and BC of the beam. Does the calculated stress in either section exceed the yield stress of the steel? Calculate the deformation in sections AB and BC of the beam. What is the total axial deformation that the beam experiences? What is the final length of the beam? Calculate the factor of safety that this structural bar was designed for. w = 2.8 in. A B 180 k C 121 k Answer Key σ > Gy Yes or No * 18 ft 8 ft Axial Section Stress (ksi) AB BC Total Deformation, 8 (in) Final Length…
- An aluminum bar carries the axial loads at the positions shown. If E=70GPA, compute the total deformation of the bar. Assume that the bar is suitably braced to prevent buckling. 0.4m D 1) What is the deformation 8Ag in mm? 10KN 0.8m 0.4m 5KN 0.6m 20KN A=800 mm? A=1,200 mm²PROBLEM 1) An aluminum bar carries the axial loads at the positions shown. If E=70GPA, compute the total deformation of the bar. Assume that the bar is suitably braced to prevent buckling. 0.4m D 10KN 0.8m 0.4m B 5KN 0.6m AL 20KN What is the deformation &pE in mm? A=800 mm² A=1,200 mm²PROBLEM 1) An aluminum bar carries the axial loads at the positions shown. If E=70GPA, compute the total deformation of the bar. Assume that the bar is suitably braced to prevent buckling. 0.4m D What is the axial stress o Ag in Pa? 10KN 0.8m 0.4m B 5KN 0.6m 20KN A=800 mm? A=1,200 mm²
- Q # 4: An aluminum rod is rigidly attached between a steel rod and a bronze rod as shown in Figure. Axial loads are applied at the positions indicated. The value of P is limited to 20 KN in bronze, 72 KN in aluminum and 28 KN in steel Find the area of each section that will not exceed a stress in steel of 280 MPa, in aluminum of 180 MPa, or in bronze of 200 MPa. CLO -2 Steel Aluminum Bronze 2P 4P 2.5 2.0 1.53) An bronze rod is rigidly attached between a aluminum rod and a steel rod as shown. Axial loads are applied at the positions indicated. Find the maximum allowable value of P that will not exceed a stress in steel of 140MPA, in aluminum of 90MPA or in bronze of 100MPа. Aluminum A = 500mm? Bronze A = 200mm? Steel A = 150mm2 2P ЗР L st = 1.2m L br = 2m Lal = 3.5m2. The bronze bar 3 m long with a cross-sectional area of 350mm2 is placed between two rigid walls. At a temperature of -20 oC, there is a gap of 2.2 mm. Find the temperature atwhich the compressive stress in the bar will be 30 MPa ifthe bar will experience:a. No tensile.b. With an tensile of 5,000 N.Use α = 18.0 x 10-6 /oC and E = 80 GPa.